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Abstract
An approach is presented that may be used to calculate the natural frequencies and loss factors of composite sandwich beams or beams containing adhesively bonded joints. The approach uses special finite elements to represent either composite or joint elements and the modal strain energy method to calculate the loss factor for each vibratory mode of interest. The special element represents a section of the composite beam or the overlap joint as an element with four nodes. Its properties are calculated by using a generalization of the shape function concept from finite elements in which the shape functions (displacement fields) in the special element are determined by performing static stress analyses on the special element's substructure. The resulting special element has only a small number of degrees of freedom and, yet, accurately represents the geometrically complex substructure. Results obtained using this approach on sandwich beams compare well with an analytical solution published in the literature. In addition, it correlates reasonably well with data taken from tests on adhesively bonded beams.
Published Version
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